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Finding the Fourth Proportional to 8,713.35, 13,074.75 and 3,782.97

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Solution

The fourth proportional to 8,713.35, 13,074.75 and 3,782.97 is: 5,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.35 : 13,074.75 = 3,782.97 : x
  2. Step 2: Convert to fraction form
    8,713.35/13,074.75 = 3,782.97/x
  3. Step 3: Cross multiply
    8,713.35x = 13,074.75 × 3,782.97
  4. Step 4: Simplify right side
    8,713.35x = 49,461,387.01
  5. Step 5: Solve for x
    x = 49,461,387.01/8,713.35
  6. Step 6: Final answer
    x = 5,676.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.